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Solvability of the theory of integers with addition, order, and multiplication by an arbitrary number. (English) Zbl 0274.02019


MSC:

03B25 Decidability of theories and sets of sentences
03D80 Applications of computability and recursion theory
Full Text: DOI

References:

[1] Yu. L. Ershov, M. A. Lavrov, A. D. Taimanov, and M. A. Taitslin, ?Elementary theories,? Usp. Matem. Nauk,20, No. 4, 37-108 (1965).
[2] A. Robinson, Introduction to the Model Theory and to the Metamathematics of Algebra, Humanities (1963). · Zbl 0118.25302
[3] Yu. L. Ershov, ?Solvability of elementary theories of some classes of abelian groups,? Algebra i Logika,1, No. 6, 37-41 (1963). · Zbl 0227.02027
[4] Yu. V. Matiyasevich, ?Diphantine property of denumerable sets,? Dokl. Akad. Nauk SSSR,191, No. 2, 279-282 (1970).
[5] H. Putnam, ?On an unsolvable problem of arithmetic,? Matematika, Collection of Translations,8, No. 5, 69-79 (1964).
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